Ball Pull Disk
A disk of radius 25.0 cm is free to turn about an axle
perpendicular to it through its center. It has very thin but strong string
wrapped around its rim, and the string is attached to a ball that is pulled
tangentially away from the rim of the disk (Fig. ). The pull increases
in magnitude and produces an acceleration of the ball that obeys the equation
a1t2 = At, where t is in seconds and A is a constant. The cylinder
starts from rest, and at the end of the third second, the ball’s acceleration
is 1.80 m/s2. (a) Find A. (b) Express the
as a function of time. (c) How much time after the disk has begun to turn
does it reach an angular speed of 15.0 rad/s? (d) Through what angle has
the disk turned just as it reaches 15.0 rad/s?
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